Search a number
-
+
205432136 = 237132312269
BaseRepresentation
bin11000011111010…
…10010101001000
3112022120000220122
430033222111020
5410042312021
632215042412
75043100340
oct1417522510
9468500818
10205432136
11a5a63228
1258970408
13337399a0
141d3d7d20
151307dbab
hexc3ea548

205432136 has 64 divisors (see below), whose sum is σ = 494726400. Its totient is φ = 77730048.

The previous prime is 205432127. The next prime is 205432141. The reversal of 205432136 is 631234502.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10610 + ... + 22878.

It is an arithmetic number, because the mean of its divisors is an integer number (7730100).

Almost surely, 2205432136 is an apocalyptic number.

205432136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205432136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247363200).

205432136 is an abundant number, since it is smaller than the sum of its proper divisors (289294264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205432136 is a wasteful number, since it uses less digits than its factorization.

205432136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12314 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 205432136 is about 14332.9039625611. The cubic root of 205432136 is about 590.0508775430.

Adding to 205432136 its reverse (631234502), we get a palindrome (836666638).

The spelling of 205432136 in words is "two hundred five million, four hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 598 644 728 1196 1288 2093 2392 4186 8372 12269 16744 24538 49076 85883 98152 159497 171766 282187 318994 343532 564374 637988 687064 1116479 1128748 1275976 1975309 2232958 2257496 3668431 3950618 4465916 7336862 7901236 8931832 14673724 15802472 25679017 29347448 51358034 102716068 205432136